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on 7 of 10Which of the following is a factor of 4 + 8x³ + 17x² - 2x - 24?A. x+1B. +3C. 2-4D. x - 2eset Selection

on 7 of 10Which of the following is a factor of 4 + 8x³ + 17x² - 2x - 24?A. x+1B. +3C-example-1
User Mac
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1 Answer

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The given expression is

x^4 + 8x^3 + 17x^2 - 2x - 24

To find the factor, we would equate each factor in the option to zero and solve for x. We would substitute x into the polynomial. The option that would make the polynomial equal to zero is a factor. We have

Consider x + 3 = 0

x = - 3

Subsituting x = - 3 into the expression, it becomes

(-3)^4 + 8(-3)^3 + 17(-3)^2 - 2(-3) - 24 = 0

Thus, x + 3 is a factor

The correct option is

B. x + 3

User SidD
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